Pith Number

pith:VHQFEB5J

pith:2022:VHQFEB5JWHBDGZIVEEQWMLJWBW

not attested not anchored not stored refs pending

Finite $N$ indices and the giant graviton expansion

James T. Liu, Neville Joshua Rajappa

arxiv:2212.05408 v2 · 2022-12-11 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHQFEB5JWHBDGZIVEEQWMLJWBW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:08:15.271061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e05207a9b1c23365152121662d360db353045e99f4e00e9e981d612e1d4d35

Aliases

arxiv: 2212.05408 · arxiv_version: 2212.05408v2 · doi: 10.48550/arxiv.2212.05408 · pith_short_12: VHQFEB5JWHBD · pith_short_16: VHQFEB5JWHBDGZIV · pith_short_8: VHQFEB5J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VHQFEB5JWHBDGZIVEEQWMLJWBW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a9e05207a9b1c23365152121662d360db353045e99f4e00e9e981d612e1d4d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81eba7d01d7e2dba05f99158580174c7e750d2087c9b5360362b6884ee06e028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-11T04:45:25Z",
    "title_canon_sha256": "c9f3c7fda9646da338d5b1c2a28ee3c3ff979397efc47ace55afbb00a2eb204c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05408",
    "kind": "arxiv",
    "version": 2
  }
}